Some remarks about abstract Uryson operators

Abstract

We continue to investigation the space of abstract Uryson operators U(E,F ), acting between vector lattices E and F . We introduce a new class of orthogonally additive, disjointness preserving operators which called Uryson lattice homomorphisms. We consider some examples of this operators and prove the Meyer type theorem. Mathematics Subject Classification: Primary 47H30; Secondary 47H99